-4(-2k-7)=3(2k+8)

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Solution for -4(-2k-7)=3(2k+8) equation: 


Simplifying
-4(-2k + -7) = 3(2k + 8)

Reorder the terms:
-4(-7 + -2k) = 3(2k + 8)
(-7 * -4 + -2k * -4) = 3(2k + 8)
(28 + 8k) = 3(2k + 8)

Reorder the terms:
28 + 8k = 3(8 + 2k)
28 + 8k = (8 * 3 + 2k * 3)
28 + 8k = (24 + 6k)

Solving
28 + 8k = 24 + 6k

Solving for variable 'k'.

Move all terms containing k to the left, all other terms to the right.

Add '-6k' to each side of the equation.
28 + 8k + -6k = 24 + 6k + -6k

Combine like terms: 8k + -6k = 2k
28 + 2k = 24 + 6k + -6k

Combine like terms: 6k + -6k = 0
28 + 2k = 24 + 0
28 + 2k = 24

Add '-28' to each side of the equation.
28 + -28 + 2k = 24 + -28

Combine like terms: 28 + -28 = 0
0 + 2k = 24 + -28
2k = 24 + -28

Combine like terms: 24 + -28 = -4
2k = -4

Divide each side by '2'.
k = -2

Simplifying
k = -2

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